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Finding the Third Proportional to 29,230 and 63,914

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Solution

The third proportional to 29,230 and 63,914 is: 139,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,230 : 63,914 = 63,914 : x
  2. Step 2: Convert to fraction form
    29,230/63,914 = 63,914/x
  3. Step 3: Cross multiply
    29,230x = 63,914 × 63,914
  4. Step 4: Simplify right side
    29,230x = 4,084,999,396
  5. Step 5: Solve for x
    x = 4,084,999,396/29,230
  6. Step 6: Final answer
    x = 139,753.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.